To provide a curable composition which has both quick curability and storage stability and is excellent in weatherability and heat resistance.

This curable composition containing a vinylic polymer having different crosslinkable silyl groups at molecular ends is characterized in that one of the molecular ends of the vinylic polymer is a dialkoxysilyl group, and the other is a trialkoxysilyl group. The vinylic polymer having the different crosslinkable silyl groups at the molecular ends is produced by a living radical polymerization method preferably using nitroxide radical.